Question

Find the volume of the cone.

Answer 1

• 37.7 cm³ is the volume of the cone.

Explaination :

Here we have to calculate the volume of the cone which is provided in the figure.

As we know that volume of cone is calculated by the formula :

• 
  `\orange{\boxed{\bf{V \: = \: (1)/(3) \: \pi \:r {}^(2)h }}}`

Here,

• r is radius
• h is height
• Value of π is 22/7

We have :

• Radius (r) is 3 ft.
• Height (h) is 4 ft.

Putting the values in the formula :

`\longrightarrow \: \sf{V \: = \: (1)/(3) \: \pi \:r {}^(2)h } \\ \\ \longrightarrow \: \sf{V \: = \: (1)/(3) \: * (22)/(7) \:(3) {}^(2)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: (1)/(3) \: * (22)/(7) \:(3 * 3)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: (1)/(3) \: * (22)/(7) \:(9)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: (1)/(3) \: * (22)/(7) \: * 9(4) } \\ \\ \longrightarrow \: \sf{V \: = \: (1)/(3) \: * (22)/(7) \: * 9 * 4 } \\ \\ \longrightarrow \: \sf{V \: = \: (1)/( \cancel3) \: * (22)/(7) \: * \cancel9 * 4 } \\ \\ \longrightarrow \: \sf{V \: = \: (1)/(1) \: * (22)/(7) \: * 3 * 4 } \\ \\ \longrightarrow \: \sf{V \: = \: (22)/(7) \: * 3 * 4 } \\ \\ \longrightarrow \: \sf{V \: = \: (22 * 3 * 4)/(7) } \\ \\ \longrightarrow \: \sf{V \: = \: (66 * 4)/(7) } \\ \\ \longrightarrow \: \sf{V \: = \: (264)/(7) } \\ \\ \longrightarrow \: \sf{V \: = \: \cancel(264)/(7) } \\ \\ \longrightarrow \: \underline{\underline{\red{\bf{V \: = \: 37.7 }}}}`

Answer 2

Explanation:

volume=1/3 πr²h

=1/3×π×3²×4

=12π ft³

≈37.70 ft³